In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the students can get any number of prizes?

In how many ways can 8 students be arranged in a row?

In how many ways 10 different balls can be put in 2 difference boxes ?

In how many Ways 6 different balls can be distributed among 4 boxes.

In how many ways can one choose 5 books from 10 different books?

Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.

In how many ways can Rs. 16 be divided into 4 persons when none of them gets less than Rs. 3?

A delegation of four students is to be selected from al total of 12 students. In how many says can the delegation be selected. if all the students are equally willing? if two particular students have to be included in the delegation? if two particular students do not wish to be together in the delegation? if two particular students wish to be included together only in the delegation? if two particular students refuse to be together and two other particular students wish to be together only in the delegation?

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?